Finite Group Databasebeta

← #13175894

Subgroups — #13175894

Order 1728.

1744 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723922C211yesmaximal, characteristic
2C3×#64087C211yesmaximal, characteristic, complemented
3C32×#878C211yesmaximal, characteristic, complemented
4#11723642C211yesmaximal, characteristic, complemented
5#11723622C211yesmaximal, characteristic
6#11723618C211yesmaximal, characteristic
7C2×#88806C211yesmaximal, characteristic, complemented
8#11723503C211yesmaximal, characteristic, complemented
9#11723489C211yesmaximal, characteristic, complemented
10#11723477C211yesmaximal, characteristic, complemented
11#11723451C211yesmaximal, characteristic, complemented
12#11723442C211yesmaximal, characteristic, complemented
13#11723405C211yesmaximal, characteristic, complemented
14#11723402C211yesmaximal, characteristic, complemented
15#11723391C211yesmaximal, characteristic, complemented
16#10596107—31nomaximal
17#10594168—34nomaximal
18C2×#6312C2211yescharacteristic
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
21C22×C3×C3⋊Dic3C2211yescharacteristic
22C2×C3×#634C2211yescharacteristic
23C22×C32×Dic3C2211yescharacteristic
24C2×C32×Dic6C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×#6289C2211yescharacteristic
27C2×#6289C2211yescharacteristic
28C33×C22⋊C4C2211yescharacteristic
29#88859C2211yescharacteristic
30#88857C2211yescharacteristic
31C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
32C3×#3757C2211yescharacteristic
33C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
34C3×#3750C2211yescharacteristic
35C3×#3750C2211yescharacteristic
36C32×#217C2211yescharacteristic
37C32×C4⋊Dic3C2211yescharacteristic
38C32×Dic3⋊C4C2211yescharacteristic
39C32×Dic3⋊C4C2211yescharacteristic
40#88807C2211yescharacteristic
41#88806C2211yescharacteristic
42#88806C2211yescharacteristic
43#88806C2211yescharacteristic
44#88806C2211yescharacteristic
45#88806C2211yescharacteristic
46#88806C2211yescharacteristic
47#88806C2211yescharacteristic
48Dic3⋊(C3⋊Dic3)C2211yescharacteristic
49#88804C2211yescharacteristic
50#88804C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×C22⋊Q8—31no—
54#64155—31no—
55#64153—31no—
56C4×#638—31no—
57C2×#3750—31no—
58#64105—31no—
59#64105—31no—
60C4⋊C4×C3⋊D3—31no—
61#64098—31no—
62#64098—31no—
63#64096—31no—
64#64090—31no—
65#64090—31no—
66#64090—34no—
67#64090—64no—
68#64087—31no—
69#64087D311yescharacteristic, complemented
70C3×#878—34no—
71C3×#878D314yescomplemented
72#63982—34no—
73C2×#3724—34no—
74#63952—34no—
75#63952—34no—
76#63900—34no—
77#63888—34no—
78#63888—34no—
79#63873—34no—
80#63865—34no—
81#63847—34no—
82#63847—34no—
83#63838—34no—
84C23×C33C2311yescharacteristic
85C22×C3⋊(C3⋊D3)C2311yescharacteristic
86C2×C33×C4C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88#6312Q814yescomplemented
89C2×C3⋊(C3⋊Dic3)—22no—
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C4×C3⋊(C3⋊D3)—22no—
94C2×C3×C3⋊Dic3—41no—
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C3×#634—41no—
100C2×C32×Dic3—41no—
101C2×C32×Dic3C2311yescharacteristic
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C32×Dic6—41no—
106#6293—22no—
107#6289—41no—
108#6289—41no—
109#5636—94no—
110#5636—91no—
111C2×C32×Q8—31no—
112C22×C32×C4—31no—
113C2×#638—31no—
114C2×#638—34no—
115C2×#638—64no—
116C22×C3⋊Dic3—31no—
117C22×C3⋊Dic3—34no—
118C22×C3⋊Dic3—64no—
119C22×C3⋊Dic3C2×D311yescharacteristic
120C2×C4×C3⋊D3—31no—
121C2×C4×C3⋊D3—34no—
122C2×C4×C3⋊D3—31no—
123C2×C4×C3⋊D3—31no—
124C2×C4×C3⋊D3—64no—
125C2×#634—31no—
126C2×#634C2×D311yescharacteristic
127C22×C3×Dic3—34no—
128C22×C3×Dic3C2×D314yes—
129C2×C3×Dic6—34no—
130C2×C3×Dic6C2×D314yes—
131C2×#627—34no—
132C2×#624—34no—
133C2×#624—34no—
134C32×C4⋊C4—31no—
135C32×C4⋊C4—31no—
136C32×C4⋊C4—31no—
137C32×C22⋊C4—24no—
138C32×C22⋊C4—31no—
139C32×C22⋊C4C2×D314yes—
140C32×C22⋊C4C2×D311yescharacteristic
141#3757C2×D311yescharacteristic
142#3752—31no—
143#3752—34no—
144#3752—31no—
145#3752—31no—
146#3752—64no—
147C4⋊(C3⋊Dic3)—31no—
148C4⋊(C3⋊Dic3)C2×D311yescharacteristic
149#3750—31no—
150#3750—34no—
151#3750—31no—
152#3750—31no—
153#3750—31no—
154#3750—31no—
155#3750—31no—
156#3750—31no—
157#3750—31no—
158#3750—31no—
159#3750—64no—
160#3750C2×D311yescharacteristic
161#3750C2×D311yescharacteristic
162C4×C3⋊Dic3—31no—
163C4×C3⋊Dic3—34no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3—31no—
166C4×C3⋊Dic3—64no—
167C3×#217—34no—
168C3×#217C2×D314yes—
169C3×C4⋊Dic3—34no—
170C3×C4⋊Dic3C2×D314yes—
171C3×Dic3⋊C4—34no—
172C3×Dic3⋊C4—34no—
173C3×Dic3⋊C4C2×D314yes—
174C3×Dic3⋊C4C2×D314yes—
175#3724—34no—
176#3724—34no—
177#3724—34no—
178#3724—34no—
179#3724—34no—
180#3724—34no—
181#3724—34no—
182Dic3⋊Dic3—34no—
183Dic3⋊Dic3—34no—
184#3722—34no—
185#3722—34no—
186Dic32—34no—
187Dic32—34no—
188C22×C33—21no—
189C22×C33—21no—
190C22×C33C2×Q812yes—
191C22×C33C2411yescharacteristic
192C2×C3⋊(C3⋊D3)—21no—
193C2×C3⋊(C3⋊D3)—21no—
194C2×C3⋊(C3⋊D3)C2×Q812yes—
195C33×C4—21no—
196C33×C4—21no—
197C3⋊(C3⋊Dic3)—21no—
198C3⋊(C3⋊Dic3)C2×Q812yes—
199C3⋊(C3⋊Dic3)#4112yes—
200C3×C3⋊Dic3—21no—
201C3×C3⋊Dic3—21no—
202C3×C3⋊Dic3—21no—
203C3×C3⋊Dic3—21no—
204C32×Dic3—21no—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C3×C22⋊Q8—34no—
209C3×C22⋊Q8—91no—
210#946—94no—
211#946—91no—
212#944—94no—
213#944—91no—
214C4×#67—94no—
215C4×#67—91no—
216C2×Dic3⋊C4—94no—
217C2×Dic3⋊C4—91no—
218#896—94no—
219#896—94no—
220#896—91no—
221#896—91no—
222D3×C4⋊C4—94no—
223D3×C4⋊C4—91no—
224#889—94no—
225#889—94no—
226#889—91no—
227#889—91no—
228#887—94no—
229#887—91no—
230#67⋊C4—94no—
231#67⋊C4—91no—
232#67⋊C4—94no—
233#67⋊C4—91no—
234#67⋊C4—184no—
235#878—34no—
236#878—94no—
237#878—91no—
238#878C3⋊D311yescharacteristic, complemented
239C23×C32—24no—
240C23×C32C22×D314yes—
241C23×C32C22×D311yescharacteristic
242C22×C3⋊D3—31no—
243C22×C3⋊D3—34no—
244C22×C3⋊D3—64no—
245C32×Q8—121no—
246C2×C32×C4—24no—
247C2×C32×C4—24no—
248C2×C32×C4—31no—
249C2×C32×C4—31no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—121no—
253C2×C32×C4C22×D314yes—
254C2×C32×C4C22×D314yes—
255C2×C32×C4C22×D311yescharacteristic
256C2×C32×C4C22×D311yescharacteristic
257#638—34no—
258#638—316no—
259#638—616no—
260C2×C3⋊Dic3—31no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—34no—
264C2×C3⋊Dic3—34no—
265C2×C3⋊Dic3—34no—
266C2×C3⋊Dic3—41no—
267C2×C3⋊Dic3—64no—
268C2×C3⋊Dic3—64no—
269C2×C3⋊Dic3—64no—
270C2×C3⋊Dic3—62no—
271C2×C3⋊Dic3—68no—
272C2×C3⋊Dic3—128no—
273C2×C3⋊Dic3C22×D311yescharacteristic
274C2×C3⋊Dic3C22×D311yescharacteristic
275C2×C3⋊Dic3C22×D311yescharacteristic
276C2×C3⋊Dic3C22×D311yescharacteristic
277C4×C3⋊D3—62no—
278C4×C3⋊D3—68no—
279C4×C3⋊D3—128no—
280C4×C3⋊D3—121no—
281C4×C3⋊D3—121no—
282#634—41no—
283#634—62no—
284C2×C3×Dic3—34no—
285C2×C3×Dic3—34no—
286C2×C3×Dic3—34no—
287C2×C3×Dic3—34no—
288C2×C3×Dic3—44no—
289C2×C3×Dic3—124no—
290C2×C3×Dic3C22×D314yes—
291C2×C3×Dic3C22×D314yes—
292C2×C3×Dic3C22×D314yes—
293C2×C3×Dic3C22×D314yes—
294C3×Dic6—44no—
295C3×Dic6—124no—
296#627—68no—
297#624—124no—
298#624—124no—
299#554—271noSylow
300C2×C33—22no—
301C2×C33C22×Q811yescharacteristic
302C2×C33C2×#4111yescharacteristic
303C2×C33H(5,𝔽2)11yescharacteristic
304C3⋊(C3⋊D3)—22no—
305C2×C3×Q8—34no—
306C2×C3×Q8—91no—
307C22×C3×C4—34no—
308C22×C3×C4—91no—
309C2×#67—94no—
310C2×#67—91no—
311C2×#67—184no—
312C22×Dic3—34no—
313C22×Dic3—94no—
314C22×Dic3—91no—
315C22×Dic3—184no—
316C22×Dic3C2×C3⋊D311yescharacteristic
317C2×C4×D3—94no—
318C2×C4×D3—91no—
319C2×C4×D3—94no—
320C2×C4×D3—94no—
321C2×C4×D3—91no—
322C2×C4×D3—91no—
323C2×C4×D3—184no—
324C2×Dic6—34no—
325C2×Dic6—94no—
326C2×Dic6—91no—
327C2×Dic6C2×C3⋊D311yescharacteristic
328C3×C4⋊C4—34no—
329C3×C4⋊C4—34no—
330C3×C4⋊C4—34no—
331C3×C4⋊C4—91no—
332C3×C4⋊C4—91no—
333C3×C4⋊C4—91no—
334C3×C22⋊C4—24no—
335C3×C22⋊C4—34no—
336C3×C22⋊C4—91no—
337C3×C22⋊C4D3214yes—
338C3×C22⋊C4C2×C3⋊D311yescharacteristic
339#217—34no—
340#217C2×C3⋊D311yescharacteristic
341(C2×D3)⋊C4—94no—
342(C2×D3)⋊C4—94no—
343(C2×D3)⋊C4—94no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4—184no—
348C4⋊Dic3—34no—
349C4⋊Dic3—94no—
350C4⋊Dic3—91no—
351C4⋊Dic3C2×C3⋊D311yescharacteristic
352Dic3⋊C4—34no—
353Dic3⋊C4—34no—
354Dic3⋊C4—94no—
355Dic3⋊C4—94no—
356Dic3⋊C4—94no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—184no—
373Dic3⋊C4C2×C3⋊D311yescharacteristic
374Dic3⋊C4C2×C3⋊D311yescharacteristic
375C4×Dic3—94no—
376C4×Dic3—94no—
377C4×Dic3—94no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C4×Dic3—184no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—24no—
385C22×C32—28no—
386C22×C32—24no—
387C22×C32—24no—
388C22×C32—44no—
389C22×C32—44no—
390C22×C32D3×Q818yes—
391C22×C32D3×Q812yes—
392C22×C32C23×D314yes—
393C22×C32C23×D311yescharacteristic
394C2×C3⋊D3—32no—
395C2×C3⋊D3—38no—
396C2×C3⋊D3—68no—
397C2×C3⋊D3—61no—
398C2×C3⋊D3—61no—
399C2×C3⋊D3—64no—
400C2×C3⋊D3—64no—
401C2×C3⋊D3—124no—
402C2×C3⋊D3—124no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—24no—
406C32×C4—24no—
407C32×C4—44no—
408C32×C4—44no—
409C32×C4—61no—
410C32×C4—61no—
411C32×C4—61no—
412C32×C4—61no—
413C3⋊Dic3—21no—
414C3⋊Dic3—21no—
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—32no—
418C3⋊Dic3—32no—
419C3⋊Dic3—38no—
420C3⋊Dic3—38no—
421C3⋊Dic3—68no—
422C3⋊Dic3—68no—
423C3⋊Dic3—61no—
424C3⋊Dic3—64no—
425C3⋊Dic3—124no—
426C3×Dic3—24no—
427C3×Dic3—24no—
428C3×Dic3—24no—
429C3×Dic3—24no—
430C3×Dic3—64no—
431C3×Dic3—64no—
432C3×Dic3—64no—
433C3×Dic3—64no—
434C4⋊Q8—271no—
435#125—271no—
436#125—271no—
437C22⋊Q8—31no—
438C22⋊Q8—91no—
439C22⋊Q8—271no—
440C22⋊Q8—271no—
441C22⋊Q8—271no—
442C22⋊Q8—271no—
443C4×Q8—271no—
444C4×D4—271no—
445C4×D4—271no—
446C4×D4—271no—
447C2×C4⋊C4—271no—
448C2×C4⋊C4—271no—
449C33#55411yescharacteristic, complemented, Sylow
450C23×C3—24no—
451C23×C3C2×D3214yes—
452C23×C3C22×C3⋊D311yescharacteristic
453C22×D3—94no—
454C22×D3—91no—
455C22×D3—184no—
456C3×Q8—124no—
457C3×Q8—361no—
458C2×C3×C4—24no—
459C2×C3×C4—24no—
460C2×C3×C4—34no—
461C2×C3×C4—34no—
462C2×C3×C4—34no—
463C2×C3×C4—34no—
464C2×C3×C4—91no—
465C2×C3×C4—91no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—124no—
469C2×C3×C4—361no—
470C2×C3×C4C2×D3214yes—
471C2×C3×C4C2×D3214yes—
472C2×C3×C4C22×C3⋊D311yescharacteristic
473C2×C3×C4C22×C3⋊D311yescharacteristic
474#67—916no—
475#67—94no—
476#67—1816no—
477C2×Dic3—34no—
478C2×Dic3—34no—
479C2×Dic3—34no—
480C2×Dic3—34no—
481C2×Dic3—41no—
482C2×Dic3—94no—
483C2×Dic3—94no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—94no—
487C2×Dic3—91no—
488C2×Dic3—124no—
489C2×Dic3—184no—
490C2×Dic3—184no—
491C2×Dic3—184no—
492C2×Dic3—182no—
493C2×Dic3—188no—
494C2×Dic3—368no—
495C2×Dic3C22×C3⋊D311yescharacteristic
496C2×Dic3C22×C3⋊D311yescharacteristic
497C2×Dic3C22×C3⋊D311yescharacteristic
498C2×Dic3C22×C3⋊D311yescharacteristic
499C4×D3—182no—
500C4×D3—188no—
501C4×D3—368no—
502C4×D3—361no—
503C4×D3—361no—
504C4×D3—364no—
505C4×D3—364no—
506Dic6—41no—
507Dic6—124no—
508Dic6—182no—
509Dic6—188no—
510C2×C32—22no—
511C2×C32—24no—
512C2×C32—24no—
513C2×C32—24no—
514C2×C32—28no—
515C2×C32—48no—
516C2×C32#100414yes—
517C2×C32#100411yescharacteristic
518C2×C32C2×D3×Q814yes—
519C2×C32C2×D3×Q811yescharacteristic
520C2×C32D3×#4114yes—
521C2×C32D3×#4111yescharacteristic
522C3⋊D3—62no—
523C3⋊D3—68no—
524C3⋊D3—128no—
525C2×Q8—31no—
526C2×Q8—91no—
527C2×Q8—271no—
528C2×D4—271no—
529C22×C4—31no—
530C22×C4—91no—
531C22×C4—271no—
532C22×C4—271no—
533C22×C4—271no—
534C22×C4—271no—
535C4⋊C4—31no—
536C4⋊C4—31no—
537C4⋊C4—31no—
538C4⋊C4—91no—
539C4⋊C4—91no—
540C4⋊C4—91no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—271no—
551C22⋊C4—31no—
552C22⋊C4—91no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4D3×C3⋊D311yescharacteristic
557C42—271no—
558C42—271no—
559C42—271no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—24no—
565C22×C3—28no—
566C22×C3—44no—
567C22×C3—44no—
568C22×C3#379718yes—
569C22×C3Q8×C3⋊D312yes—
570C22×C3C22×D3214yes—
571C22×C3C23×C3⋊D311yescharacteristic
572C2×D3—98no—
573C2×D3—92no—
574C2×D3—188no—
575C2×D3—184no—
576C2×D3—184no—
577C2×D3—181no—
578C2×D3—181no—
579C2×D3—364no—
580C2×D3—364no—
581C3×C4—24no—
582C3×C4—24no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—44no—
586C3×C4—44no—
587C3×C4—64no—
588C3×C4—64no—
589C3×C4—64no—
590C3×C4—64no—
591C3×C4—181no—
592C3×C4—181no—
593C3×C4—181no—
594C3×C4—181no—
595Dic3—21no—
596Dic3—21no—
597Dic3—21no—
598Dic3—21no—
599Dic3—64no—
600Dic3—64no—
601Dic3—64no—
602Dic3—64no—
603Dic3—98no—
604Dic3—98no—
605Dic3—92no—
606Dic3—92no—
607Dic3—188no—
608Dic3—188no—
609Dic3—184no—
610Dic3—181no—
611Dic3—364no—
612C32—24no—
613C32#563614yescomplemented
614C32#563611yescharacteristic, complemented
615C23—271no—
616C23C2×D3×C3⋊D311yescharacteristic
617Q8—121no—
618Q8—361no—
619Q8—542no—
620D4—274no—
621C2×C4—31no—
622C2×C4—31no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—91no—
626C2×C4—91no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—121no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—271no—
633C2×C4—361no—
634C2×C4—542no—
635C2×C4—542no—
636C2×C4—1081no—
637C2×C4—1081no—
638C2×C4C2×D3×C3⋊D311yescharacteristic
639C2×C4C2×D3×C3⋊D311yescharacteristic
640C2×C3—22no—
641C2×C3—28no—
642C2×C3—24no—
643C2×C3—24no—
644C2×C3—24no—
645C2×C3—48no—
646C2×C3C2×#379714yes—
647C2×C3#6431214yes—
648C2×C3#6431314yes—
649C2×C3#6436111yescharacteristic
650C2×C3C2×Q8×C3⋊D311yescharacteristic
651C2×C3#41×C3⋊D311yescharacteristic
652D3—182no—
653D3—188no—
654D3—368no—
655C22—21no—
656C22—21no—
657C22—272no—
658C22—541no—
659C22—541no—
660C22#8901912yes—
661C22C22×D3×C3⋊D311yescharacteristic
662C4—21no—
663C4—21no—
664C4—61no—
665C4—61no—
666C4—61no—
667C4—61no—
668C4—181no—
669C4—181no—
670C4—181no—
671C4—181no—
672C4—272no—
673C4—272no—
674C4—541no—
675C3—24no—
676C3#1059416814yescomplemented
677C3#1059610711yescharacteristic, complemented
678C2—22no—
679C2—542no—
680C2C2×#8901911yescharacteristic
681C2#1172458611yescharacteristic
682C2#1172458711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
prime radicalC2×#6312C22
hypercenterC22⋊C4D3×C3⋊D3
hypocenterC33#554
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C3×#64087C2semidirect
3. C32×#878C2semidirect
4. #11723642C2semidirect
7. C2×#88806C2semidirect
8. #11723503C2semidirect
9. #11723489C2semidirect
10. #11723477C2semidirect
11. #11723451C2semidirect
12. #11723442C2semidirect
13. #11723405C2semidirect
14. #11723402C2semidirect
15. #11723391C2semidirect
69. #64087D3semidirect
71. C3×#878D3semidirect
88. #6312Q8semidirect
238. #878C3⋊D3semidirect
449. C33#554semidirect
613. C32#5636semidirect
614. C32#5636semidirect
676. C3#10594168semidirect
677. C3#10596107semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#117239222
C3×#640872
C32×#8782
#117236422
#117236222
#117236182
C2×#888062
#117235032
#117234892
#117234772
#117234512
#117234422
#117234052
#117234022
#117233912
#105961073
#105941683